Can a triangle with side lengths of 8, 15, and 17 be a right triangle?

Mathematics

2 answers:

Nookie1986 [14]3 years ago

7 0

Yes it is.
Glad to help!

Elza [17]3 years ago

7 0

Yes, it can. You can work this out by using Pythagoras' theorem (a² + b² = c²).

Add up the squares of the two smaller numbers (8² + 15²) = 289

Square root the sum of the two squares and see if it matches the bigger number. (√289) = 17.

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What is the formula for an eastbound car is going 4 miles per hour faster than a westbound car. the cars are 208 miles apart 2 h

ivanzaharov [21]

Draw a diagram to illustrate the problem as shown below.

Let v = speed of the westbound car, mph

Because the eastbound car travels 4 mph faster than the westbound car, its speed is (v+4) mph.

After 2 hours,
the westbound car travels 2v miles west, and the eastbound car travels 2(v+4) miles east.
Because they become separated by 208 miles, therefore
2v + 2(v+4) = 208
4v + 8 = 208
4v = 200
v = 50 mph

The westbound car travels at 50 mph.
The eastbound car travels at v+4 = 54 mph

Answer: The eastbound car travels at 54 mph.